x(3x-32)+12=-52

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Solution for x(3x-32)+12=-52 equation: 


Simplifying
x(3x + -32) + 12 = -52

Reorder the terms:
x(-32 + 3x) + 12 = -52
(-32 * x + 3x * x) + 12 = -52
(-32x + 3x2) + 12 = -52

Reorder the terms:
12 + -32x + 3x2 = -52

Solving
12 + -32x + 3x2 = -52

Solving for variable 'x'.

Reorder the terms:
12 + 52 + -32x + 3x2 = -52 + 52

Combine like terms: 12 + 52 = 64
64 + -32x + 3x2 = -52 + 52

Combine like terms: -52 + 52 = 0
64 + -32x + 3x2 = 0

Factor a trinomial.
(8 + -3x)(8 + -1x) = 0


Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2.666666667, 8}

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